An overview of 0–1 test for chaos

D Bernardini, G Litak - Journal of the Brazilian Society of Mechanical …, 2016 - Springer
1 test for chaos provides a simple method that can be used to detect the occurrence of non-
regular stationary responses of dynamical systems of any sort. Besides the simplicity of its …

Nonlinear dynamics of asymmetric bistable energy harvesters

JP Norenberg, R Luo, VG Lopes, JVLL Peterson… - International Journal of …, 2023 - Elsevier
The paper investigates asymmetries effects over a nonlinear vibration energy harvester
dynamics. The asymmetric system performance is compared with symmetric ones. Different …

[PDF][PDF] On the 0/1 test for chaos in continuous systems

M Melosik, W Marszalek - Bulletin of the Polish Academy of …, 2016 - psjd.icm.edu.pl
In this paper we discuss in detail the resonance and oversampling features of the 0/1 test for
chaos in continuous systems and propose methods to avoid those undesired features. Our …

Examining the Chaotic Behavior in Dynamical Systems by Means of the 0‐1 Test

L Zachilas, IN Psarianos - Journal of Applied Mathematics, 2012 - Wiley Online Library
We perform the stability analysis and we study the chaotic behavior of dynamical systems,
which depict the 3‐particle Toda lattice truncations through the lens of the 0‐1 test, proposed …

The finite sample behavior of the 0–1 test for chaos

J Belaire-Franch - Physica A: Statistical Mechanics and its Applications, 2020 - Elsevier
In a recent paper, Webel (2012) provides evidence of chaotic structures in the stock returns
of all DAX members, by using the so-called 0–1 test developed by Gottwald and Melbourne …

On Physically Unacceptable Numerical Solutions Yielding Strong Chaotic Signals

W Marszalek - Entropy, 2022 - mdpi.com
Physically unacceptable chaotic numerical solutions of nonlinear circuits and systems are
discussed in this paper. First, as an introduction, a simple example of a wrong choice of a …

A proof for the existence of chaos in diffusively coupled map lattices with open boundary conditions

LG Yuan, QG Yang - Discrete Dynamics in Nature and Society, 2011 - Wiley Online Library
We first study how to make use of the Marotto theory to prove rigorously the existence of the
Li‐Yorke chaos in diffusively coupled map lattices with open boundary conditions (ie, a high …

Nonlinear dynamics of asymmetric bistable energy harvesters

JP Norenberg, R Luo, V Lopes, J Peterson… - International Journal of …, 2023 - hal.science
The paper investigates asymmetries effects over a nonlinear vibration energy harvester
dynamics. The asymmetric system performance is compared with symmetric ones. Different …

Efficient time-series detection of the strong stochasticity threshold in Fermi-Pasta-Ulam oscillator lattices

M Romero-Bastida, AY Reyes-Martínez - Physical Review E—Statistical …, 2011 - APS
In this work we study the possibility of detecting the so-called strong stochasticity threshold
(ie, the transition between weak and strong chaos as the energy density of the system is …

[PDF][PDF] A Cross Section of Oscillator Dynamics

JA DeSalvo - 2010 - scholar.colorado.edu
The goal of this research is to explore criteria sufficient to produce oscillations, sample some
dynamical systems that oscillate, and investigate synchronization. A discussion on linear …